Question
Answer
$$3\cdot\dfrac{\sqrt{25}}{5\sqrt{5}}=\dfrac{3\sqrt{5}}{5}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}3 \cdot \frac{\sqrt{25}}{5\sqrt{5}}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}3 \cdot \frac{5\sqrt{5}}{25} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}3 \cdot \frac{\sqrt{5}}{5} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}\frac{3\sqrt{5}}{5}\end{aligned} $$ | |
| ① | Multiply in a numerator. $$ \color{blue}{ \sqrt{25} } \cdot \sqrt{5} = 5 \sqrt{5} $$ Simplify denominator. $$ \color{blue}{ 5 \sqrt{5} } \cdot \sqrt{5} = 25 $$ |
| ② | Divide both numerator and denominator by 5. |
| ③ | $$ \color{blue}{ 3 } \cdot \sqrt{5} = 3 \sqrt{5} $$$$ \color{blue}{ 1 } \cdot 5 = 5 $$ |
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